Journal of Institute of Control, Robotics and Systems (제어로봇시스템학회논문지)

Institute of Control, Robotics and Systems (제어로봇시스템학회)
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A Study on Simple Adaptive Control of Flexible-Joint Robots Considering Motor Dynamics

모터 동역학식을 고려한 유연 연결 로봇의 간단한 적응 제어에 관한 연구

  • 유성진 (연세대학교 전기전자공학과) ;
  • 최윤호 (경기대학교 전자공학부) ;
  • 박진배 (연세대학교 전기전자공학과)
  • Published : 2008.11.01
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Abstract

Since the flexible joint robots with motor dynamics are represented by the fifth-order nonlinear sγstem, it is difficult and complex to design the controller for electrically driven flexible-joint (EDFJ) robots. In this paper, we propose a simple adaptive control method to solve this problem. It is assumed that the model uncertainties of the robots dynamics, joint flexibility, and motor dynamics are unknown. For the simple control design, the dynamic surface design method is applied, and all uncertainties in the robot and motor dynamics are compensated by using the adaptive function approximation technique. It is proved that all signals in the controlled closed-loop system are uniformly ultimately bounded. Simulation results for three-link EDFJ manipulators are provided to validate the effectiveness of the proposed control system.

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References

  1. P. Tomei, 'A simple PD controller for robots with elastic joints,' IEEE Trans. Automa. Control, vol. 36, no. 10, pp. 1208-1213, 1991 https://doi.org/10.1109/9.90238
  2. J. A. T. Machado, 'Variable structure control of manipulators with compliant joints,' in Proc. IEEE Int. Conf. Industrial Electronics, pp. 554-559, 1993
  3. H. S. Ramirez, S. Ahmad and M. Zribi, 'Dynamical feedback control of robotic manipulators with joint flexibility,' IEEE Trans. Syst., Man, and Cybern., vol. 22, no. 4, pp. 736-747, 1992 https://doi.org/10.1109/21.156586
  4. C. W. Park and Y. W. Cho, 'Adaptive tracking control of flexible joint manipulator based on fuzzy model reference approach,' IEE Proc.-Control Theory and Appl., vol. 150, no. 2, pp. 198- 204, 1992
  5. E. Gurkan, S. P. Banks and I. Erkmen, 'Stable controller design for the T-S fuzzy model of a flexible-joint robot arm based on Lie algebra,' in Proc. of IEEE Conf. Decision and Control, pp. 4717-4722, 2003
  6. C. J. B. Macnab, G. M. T. D'Eleuterio and M. Meng, 'CMAC adaptive control of flexible-joint robots using backstepping with tuning functions,' in Proc. of the IEEE Int. Conf. Robotics and Automation, pp. 2679-2686, 2004
  7. C. Kwan and F. L. Lewis, 'Robust backstepping control of nonlinear systems using neural networks,' IEEE Trans. Syst., Man, and Cybern., A, Syst. Humans, vol. 30, no. 6, pp. 753-766, 2000 https://doi.org/10.1109/3468.895898
  8. M. Krstic, I. Kanellakopoulos and P. Kokotovic, Nonlinear and Adaptive Control Design, NJ: Wiley Interscience, 1995
  9. J. H. Oh and J. S. Lee, 'Control of flexble joint robot system by backstepping design approach,' in Proc. of the IEEE Int. Conf. Robotics and Automation, pp. 3435-3429, 1997
  10. A. A. Abouelsoud, 'Robust regulator for flexible-joint robots using integrator backstepping,' Jour. of Intelligent and Robotic Systems, vol. 22, pp. 23-38, 1998 https://doi.org/10.1023/A:1007947416837
  11. S. Nicosia and P. Tomei, 'A new approach to control elastic joint robots with application to adaptive control,' in Proc. of IEEE Conf. Decision and Control, pp. 343-347, 1991
  12. M.-C. Chien and A.-C. Huang, 'Adaptive control for flexiblejoint electrically driven robot with time-varying uncertainties,' IEEE Trans. Industrial Electronics, vol. 54, no. 2, pp. 1032-1038, 2007 https://doi.org/10.1109/TIE.2007.893054
  13. D. Swaroop, J. K. Hedrick, P. P. Yip and J. C. Gerdes, 'Dynamic surface control for a class of nonlinear systems,' IEEE Trans. Automa. Control, vol. 45, no 10, pp. 1893-1899, 2000 https://doi.org/10.1109/TAC.2000.880994
  14. S. J. Yoo, J. B. Park and Y. H. Choi, 'Adaptive dynamic surface control of flexible-joint robots using self-recurrent wavelet neural networks,' IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 36, no. 6, pp. 1342-1355, Dec. 2006 https://doi.org/10.1109/TSMCB.2006.875869
  15. S. J. Yoo, J. B. Park and Y. H. Choi, 'Indirect adaptive control of nonlinear dynamic systems using self recurrent wavelet neural network via adaptive learning rates,' Information Sciences, vol. 177, no. 15, pp. 3074-3098, 2007 https://doi.org/10.1016/j.ins.2007.02.009
  16. F. J. Lin, T. S. Lee and C. H. Lin, 'Robust $H\infty$ controller design with recurrent neural network for linear synchronous motor drive,' IEEE Trans. Industrial Electronics, vol. 50, no. 3, pp. 456-470, 2003 https://doi.org/10.1109/TIE.2003.809394
  17. P. A. Ioannou and P. V. Kokotovic. Adaptive Systems with Reduced Models, NY: Springer-Verlag, 1983

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